w^2-11w+42=0

Solution for w^2-11w+42=0 equation:

Simplifying
w2 + -11w + 42 = 0

Reorder the terms:
42 + -11w + w2 = 0

Solving
42 + -11w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + -11w + -42 + w2 = 0 + -42

Reorder the terms:
42 + -42 + -11w + w2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -11w + w2 = 0 + -42
-11w + w2 = 0 + -42

Combine like terms: 0 + -42 = -42
-11w + w2 = -42

The w term is -11w.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11w + 30.25 + w2 = -42 + 30.25

Reorder the terms:
30.25 + -11w + w2 = -42 + 30.25

Combine like terms: -42 + 30.25 = -11.75
30.25 + -11w + w2 = -11.75

Factor a perfect square on the left side:
(w + -5.5)(w + -5.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.